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A glass top of an office table is in the form of rectangle. The diagonal of the table have length 5x-11 and 2x+25

1.what is the value of x?
2.what us the length of the diagonal?​

1 Answer

4 votes

Answer:

1) The value of
x is 12.

2) The length of the diagonal is 49.

Explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:


5\cdot x - 11 = 2\cdot x + 25 (1)

We need some algebraic handling to determine the value of
x:


5\cdot x - 11 = 2\cdot x + 25


5\cdot x - 2\cdot x = 25 +11


[5+(-2)] \cdot x = 36


3\cdot x = 36


x = 12

The value of
x is 12.

2) If we know that
x = 12, then the length of the diagonal (
d) is:


d = 2\cdot x + 25


d = 49

The length of the diagonal is 49.

User Vishaal Shankar
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